We look at the division of 6962 by 17 
Our goal is to divide 6962 by 17.

Let's proceed to step 1:
The number 17 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 17

Going ahead to step 2:
If we divide 69 by 17, we get 4 and a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 1 after subtracting 68 from 69.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 17

On to step 3:
If we divide 16 by 17, we get 0 and a remainder of 16.
Record the quotient 0 as the next digit in the result. 
Result so far: 40.0
The remainder is 16 after subtracting 0 from 16.
Bring next digit (2) of the dividend behind the 16 and repeat the process: 162 / 17

Moving on to step 4:
17 can be fit into 162 9 times, resulting in a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 409.0
Subtracting 153 from 162 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 5:
17 goes into 90 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 409.5
The remainder is 5 after subtracting 85 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 6:
17 can be fit into 50 2 times, resulting in a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 409.52
Subtract 34 from 50 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
The number 17 fits into 160 9 times, leaving a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 409.529
If we take 153 away from 160, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 8:
70 divided by 17 is 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 409.5294
The remainder is 2 after subtracting 68 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 9:
The number 17 fits into 20 1 times, leaving a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 409.52941
The remainder is 3 after subtracting 17 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 10:
17 can be fit into 30 1 times, resulting in a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 409.529411
Subtract 17 from 30 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final result is 409.529411 with a remainder of 1.3e-06.